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Finding the Fourth Proportional to 89,671.95, 123,742.49 and 49,377.85

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Solution

The fourth proportional to 89,671.95, 123,742.49 and 49,377.85 is: 68,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,671.95 : 123,742.49 = 49,377.85 : x
  2. Step 2: Convert to fraction form
    89,671.95/123,742.49 = 49,377.85/x
  3. Step 3: Cross multiply
    89,671.95x = 123,742.49 × 49,377.85
  4. Step 4: Simplify right side
    89,671.95x = 6,110,137,244.24
  5. Step 5: Solve for x
    x = 6,110,137,244.24/89,671.95
  6. Step 6: Final answer
    x = 68,138.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.